Solve the following equation:
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Solve the following equation:
We must first identify the lowest common denominator between 6 and 9.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 6 and 9.
In this case, the common denominator is 18.
We will then proceed to multiply each fraction by the appropriate number to reach the denominator 18.
We'll multiply the first fraction by 3
We'll multiply the second fraction by 2
Finally we'll combine and obtain the following:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List the multiples of each number: 6: 6, 12, 18, 24... and 9: 9, 18, 27... The first number that appears in both lists is 18, so that's your LCD!
You can only add fractions when they have the same denominator. Think of it like adding different units - you can't add 3 apples and 3 oranges to get 6 apples!
Divide the LCD by each denominator: 18 ÷ 6 = 3 and 18 ÷ 9 = 2. So multiply the first fraction by 3 and the second by 2.
Yes! Always check if your answer can be simplified. can be reduced to by dividing both numerator and denominator by 3.
The process is the same! Find multiples of each denominator until you find the first common one. For larger numbers, you can also use prime factorization to find the LCD more efficiently.
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